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Chris Blosser offers an extremely helpful assessment of the situation at Against the Grain in this post. The answer, it would seem, is a qualified “no”.

Theoretical reduction–the reducing of one theory to the postulates and theorems of some other theory from which it can be logically derived–is possible in lots of areas, but it is not always advisable. Biology, for example, can be reduced to particle physics, but it is not clear what the motivation would be for translating talk [...]

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